-8x^2+x+19=10

Solution for -8x^2+x+19=10 equation:

Simplifying
-8x2 + x + 19 = 10

Reorder the terms:
19 + x + -8x2 = 10

Solving
19 + x + -8x2 = 10

Solving for variable 'x'.

Reorder the terms:
19 + -10 + x + -8x2 = 10 + -10

Combine like terms: 19 + -10 = 9
9 + x + -8x2 = 10 + -10

Combine like terms: 10 + -10 = 0
9 + x + -8x2 = 0

Factor a trinomial.
(9 + -8x)(1 + x) = 0

Subproblem 1
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {1.125, -1}